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struct sat2 {
int n; // + scc variablen
vector<int> sol;
sat2(int vars) : n(vars*2), adj(vars*2) {};
static int var(int i) {return i << 1;} // use this!
void addImpl(int a, int b) {
adj[a].push_back(b);
adj[1^b].push_back(1^a);
}
void addEquiv(int a, int b) {addImpl(a, b); addImpl(b, a);}
void addOr(int a, int b) {addImpl(1^a, b);}
void addXor(int a, int b) {addOr(a, b); addOr(1^a, 1^b);}
void addTrue(int a) {addImpl(1^a, a);}
void addFalse(int a) {addTrue(1^a);}
void addAnd(int a, int b) {addTrue(a); addTrue(b);}
void addNand(int a, int b) {addOr(1^a, 1^b);}
bool solvable() {
scc(); //scc code von oben
for (int i = 0; i < n; i += 2) {
if (idx[i] == idx[i + 1]) return false;
}
return true;
}
void assign() {
sol.assign(n, -1);
for (int i = 0; i < sccCounter; i++) {
if (sol[sccs[i][0]] == -1) {
for (int v : sccs[i]) {
sol[v] = 1;
sol[1^v] = 0;
}}}}
};
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